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Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials (Q305256)

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scientific article; zbMATH DE number 6387794

Time dependent potentials associated with exceptional orthogonal polynomials

Language	Label	Description	Also known as
English	Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials	scientific article; zbMATH DE number 6387794	Time dependent potentials associated with exceptional orthogonal polynomials

Statements

scholarly article

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Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials (English)

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Time dependent potentials associated with exceptional orthogonal polynomials (English)

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Axel Schulze-Halberg

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Annals of Physics

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Journal of Mathematical Physics

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publication date

29 August 2016

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19 January 2015

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full work available at URL

https://arxiv.org/abs/1409.0999

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zbMATH Keywords

Dirac equation

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pseudoscalar potential

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Darboux transformation

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exceptional orthogonal polynomials

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MaRDI profile type

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An extension of Bochner's problem: exceptional invariant subspaces

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An extended class of orthogonal polynomials defined by a Sturm-Liouville problem

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Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry

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Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics

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Exceptional orthogonal polynomials and the Darboux transformation

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Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations

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Multistep DBT and regular rational extensions of the isotonic oscillator

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Solvable rational extensions of the isotonic oscillator

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Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials

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Prepotential Approach to Solvable Rational Potentials and Exceptional Orthogonal Polynomials

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Properties of the exceptional \((X_{l})\) Laguerre and Jacobi polynomials

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Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials

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Rationally-extended radial oscillators and Laguerre exceptional orthogonal polynomials in \(k\)th-order SUSYQM

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Two-step Darboux transformations and exceptional Laguerre polynomials

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Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials

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Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition

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Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schrödinger Hamiltonians

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N -fold supersymmetry and quasi-solvability associated with X2-Laguerre polynomials

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Effect of position-dependent mass on dynamical breaking of type B and type \(X_{2} \mathcal N\)-fold supersymmetry

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Dirac(-Pauli), Fokker-Planck equations and exceptional Laguerre polynomials

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Information entropy of conditionally exactly solvable potentials

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Conditionally exactly solvable potentials: A supersymmetric construction method

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The scattering amplitude for a newly found exactly solvable potential

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Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators

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Canonical transformations and exact invariants for dissipative systems

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Symmetry of time-dependent Schrödinger equations. II. Exact solutions for the equation {∂<i>x</i> <i>x</i>+2<i>i</i>∂<i>t</i>−2<i>g</i>2(<i>t</i>)<i>x</i>2−2<i>g</i>1(<i>t</i>)<i>x</i> −2<i>g</i>0(<i>t</i>)}Ψ(<i>x</i>, <i>t</i>) = 0

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Quantum integrals of motion for variable quadratic Hamiltonians

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Time reversal for modified oscillators

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Solution of the Cauchy problem for a time-dependent Schrödinger equation

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On Time-Dependent Quadratic Quantum Hamiltonians

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Berry's phase and wavefunctions for time-dependent Hamilton systems

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Modal expansions and completeness relations for some time-dependent Schrödinger equations

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On form-preserving transformations for the time-dependent Schrödinger equation

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A simple derivation of the exact wavefunction of a harmonic oscillator with time-dependent mass and frequency

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SYSTEMATIC SEARCH OF EXACTLY SOLVABLE NON-CENTRAL POTENTIALS

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The quantum damped harmonic oscillator

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EFFECTIVE MASS HAMILTONIANS WITH LINEAR TERMS IN THE MOMENTUM: DARBOUX TRANSFORMATIONS AND FORM-PRESERVING TRANSFORMATIONS

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EQUIVALENCE OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH CONSTANT AND TIME-DEPENDENT MASS

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Form-preserving transformations for the time-dependent Schrödinger equation in \((n+1)\) dimensions

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Infinite families of (non)-Hermitian Hamiltonians associated with exceptional<i>X<sub>m</sub></i>Jacobi polynomials

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Revisiting (quasi-)exactly solvable rational extensions of the Morse potential

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Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen-Morse II and Eckart potentials

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DARBOUX TRANSFORMATIONS FOR TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS

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A conjecture on exceptional orthogonal polynomials

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Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators

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Solvable rational extensions of the Morse and Kepler-Coulomb potentials

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New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems

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A new family of shape invariantly deformed Darboux–Pöschl–Teller potentials with continuous ℓ

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Darboux transformations for a generalized Dirac equation in two dimensions

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Identifiers

zbMATH Open document ID

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10.1063/1.4903257

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10.1016/J.AOP.2014.06.016

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:305256

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